0.4x+0.9(10-x)=8

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Solution for 0.4x+0.9(10-x)=8 equation:


Simplifying
0.4x + 0.9(10 + -1x) = 8
0.4x + (10 * 0.9 + -1x * 0.9) = 8
0.4x + (9 + -0.9x) = 8

Reorder the terms:
9 + 0.4x + -0.9x = 8

Combine like terms: 0.4x + -0.9x = -0.5x
9 + -0.5x = 8

Solving
9 + -0.5x = 8

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + -0.5x = 8 + -9

Combine like terms: 9 + -9 = 0
0 + -0.5x = 8 + -9
-0.5x = 8 + -9

Combine like terms: 8 + -9 = -1
-0.5x = -1

Divide each side by '-0.5'.
x = 2

Simplifying
x = 2

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